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Volumn 55, Issue 5, 2008, Pages 1347-1356

Adaptive stabilization and synchronization for chaotic Lur'e systems with time-varying delay

Author keywords

Adaptive control; Chaos control; Chaotic systems; Lur'e systems; Synchronization; Time varying delay

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; CHAOTIC SYSTEMS; DIFFERENTIAL EQUATIONS; FEEDBACK; STABILIZATION; SYNCHRONIZATION; TIME DELAY;

EID: 45549099038     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2008.916462     Document Type: Article
Times cited : (166)

References (43)
  • 1
    • 0037490391 scopus 로고    scopus 로고
    • From chaos to order: Methodologies
    • Singapore: World Scientific
    • G. Chen and X. Dong, "From chaos to order: Methodologies," in Perspectives and Applications. Singapore: World Scientific, 1998.
    • (1998) Perspectives and Applications
    • Chen, G.1    Dong, X.2
  • 3
    • 4243489552 scopus 로고
    • Controlling chaos
    • E. Ott, C. Grebogi, and J. Yorke, "Controlling chaos," Phys. Rev. Lett., vol. 64, no. 11, pp. 1196-1199, 1990.
    • (1990) Phys. Rev. Lett , vol.64 , Issue.11 , pp. 1196-1199
    • Ott, E.1    Grebogi, C.2    Yorke, J.3
  • 4
    • 0343689904 scopus 로고
    • Synchronization in chaotic systems
    • L. Pecora and T. Carroll, "Synchronization in chaotic systems," Phys. Rev. Lett., vol. 64, no. 8, pp. 821-824, 1990.
    • (1990) Phys. Rev. Lett , vol.64 , Issue.8 , pp. 821-824
    • Pecora, L.1    Carroll, T.2
  • 5
    • 0036013593 scopus 로고    scopus 로고
    • Statistical mechanics of complex networks
    • R. Albert and A. Barabási, "Statistical mechanics of complex networks," Rev. Mod. Phys., vol. 74, no. 1, pp. 47-97, 2002.
    • (2002) Rev. Mod. Phys , vol.74 , Issue.1 , pp. 47-97
    • Albert, R.1    Barabási, A.2
  • 6
    • 0000086354 scopus 로고    scopus 로고
    • Stabilizing unstable periodic points of one-dimensional nonlinear systems using delayed-feedback signals
    • K. Konishi, M. Ishii, and H. Kokame, "Stabilizing unstable periodic points of one-dimensional nonlinear systems using delayed-feedback signals," Phys. Rev. E, vol. 54, no. 4, pp. 3455-3460, 1996.
    • (1996) Phys. Rev. E , vol.54 , Issue.4 , pp. 3455-3460
    • Konishi, K.1    Ishii, M.2    Kokame, H.3
  • 7
    • 3042515369 scopus 로고    scopus 로고
    • Stabilizing unstable equilibria of a class of chaotic systems from state observer approach
    • Jun
    • G. Jiang, G. Chen, and W. Tang, "Stabilizing unstable equilibria of a class of chaotic systems from state observer approach," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 51, no. 6, pp. 281-288, Jun. 2004.
    • (2004) IEEE Trans. Circuits Syst. II, Exp. Briefs , vol.51 , Issue.6 , pp. 281-288
    • Jiang, G.1    Chen, G.2    Tang, W.3
  • 8
    • 0000369105 scopus 로고    scopus 로고
    • Adaptive control of spatially extended systems: Targeting spatiotemporal patterns and chaos
    • S. Sinha and N. Gupte, "Adaptive control of spatially extended systems: Targeting spatiotemporal patterns and chaos," Phys. Rev. E, vol. 58, no. 5, pp. 5221-5224, 1998.
    • (1998) Phys. Rev. E , vol.58 , Issue.5 , pp. 5221-5224
    • Sinha, S.1    Gupte, N.2
  • 9
    • 33645675305 scopus 로고    scopus 로고
    • Adaptive synchronization of neural networks with or without time-varying delay
    • J. Cao and J. Lu, "Adaptive synchronization of neural networks with or without time-varying delay," Chaos, vol. 16, no. 1, 2006, 013133.
    • (2006) Chaos , vol.16 , Issue.1 , pp. 013133
    • Cao, J.1    Lu, J.2
  • 10
    • 0000196398 scopus 로고    scopus 로고
    • Controlling and synchronizing space time chaos
    • S. Boccaletti, J. Bragard, and F. Arecchi, "Controlling and synchronizing space time chaos," Phys. Rev. E, vol. 59, no. 6, pp. 6574-6578, 1999.
    • (1999) Phys. Rev. E , vol.59 , Issue.6 , pp. 6574-6578
    • Boccaletti, S.1    Bragard, J.2    Arecchi, F.3
  • 11
    • 41349116917 scopus 로고    scopus 로고
    • Stabilizing coupled map lattice systems with adaptive adjustment
    • W. Huang, "Stabilizing coupled map lattice systems with adaptive adjustment," Phys. Rev. E, vol. 66, no. 3, 2002, 036222.
    • (2002) Phys. Rev. E , vol.66 , Issue.3 , pp. 036222
    • Huang, W.1
  • 12
    • 42749108047 scopus 로고    scopus 로고
    • Stabilizing near-nonhyperbolic chaotic systems with applications
    • D. Huang, "Stabilizing near-nonhyperbolic chaotic systems with applications," Phys. Rev. Lett., vol. 93, no. 21, 2004, 214101.
    • (2004) Phys. Rev. Lett , vol.93 , Issue.21 , pp. 214101
    • Huang, D.1
  • 13
    • 29844431910 scopus 로고    scopus 로고
    • Adaptive complete synchronization of two identical or different chaotic (hyperchaotic) systems with fully unknown parameters
    • J. Lu and J. Cao, "Adaptive complete synchronization of two identical or different chaotic (hyperchaotic) systems with fully unknown parameters," Chaos, vol. 15, no. 4, 2005, 043901.
    • (2005) Chaos , vol.15 , Issue.4 , pp. 043901
    • Lu, J.1    Cao, J.2
  • 14
    • 34548655347 scopus 로고    scopus 로고
    • Globally exponential synchronization in an array of asymmetric coupled neural networks
    • J. Lu, D. Ho, and M. Liu, "Globally exponential synchronization in an array of asymmetric coupled neural networks," Phys. Lett. A, vol. 369, no. 5-6, pp. 444-451, 2007.
    • (2007) Phys. Lett. A , vol.369 , Issue.5-6 , pp. 444-451
    • Lu, J.1    Ho, D.2    Liu, M.3
  • 15
    • 0001177874 scopus 로고    scopus 로고
    • Synchronizing hyperchaos with a scalar transmitted signal
    • J. Peng, E. Ding, M. Ding, and W. Yang, "Synchronizing hyperchaos with a scalar transmitted signal," Phys. Rev. Lett., vol. 76, no. 6, pp. 904-907, 1996.
    • (1996) Phys. Rev. Lett , vol.76 , Issue.6 , pp. 904-907
    • Peng, J.1    Ding, E.2    Ding, M.3    Yang, W.4
  • 16
    • 7244255876 scopus 로고    scopus 로고
    • Synchronizing strict-feedback chaotic system via a scalar driving signal
    • S. Chen, D. Wang, L. Chen, Q. Zhang, and C. Wang, "Synchronizing strict-feedback chaotic system via a scalar driving signal," Chaos vol. 14, pp. 539-544, 2004.
    • (2004) Chaos , vol.14 , pp. 539-544
    • Chen, S.1    Wang, D.2    Chen, L.3    Zhang, Q.4    Wang, C.5
  • 17
    • 0000265121 scopus 로고
    • Synchronous chaos in coupled oscillator systems
    • J. Heagy, T. Carroll, and L. Pecora, "Synchronous chaos in coupled oscillator systems," Phys. Rev. E, vol. 50, no. 3, pp. 1874-1885, 1994.
    • (1994) Phys. Rev. E , vol.50 , Issue.3 , pp. 1874-1885
    • Heagy, J.1    Carroll, T.2    Pecora, L.3
  • 18
    • 0001160085 scopus 로고    scopus 로고
    • Switching manifold approach to chaos synchronization
    • J. Fang, Y. Hong, and G. Chen, "Switching manifold approach to chaos synchronization," Phys. Rev. E, vol. 59, no. 3, pp. 2523-2526, 1999.
    • (1999) Phys. Rev. E , vol.59 , Issue.3 , pp. 2523-2526
    • Fang, J.1    Hong, Y.2    Chen, G.3
  • 20
    • 0031627945 scopus 로고    scopus 로고
    • Fuzzy control of chaotic systems using LMIs: Regulation, synchronization and chaos model following
    • K. Tanaka and H. Wang, "Fuzzy control of chaotic systems using LMIs: regulation, synchronization and chaos model following," in IEEE World Congr. Fuzzy Syst. Proc., 1998, vol. 1, pp. 434-439.
    • (1998) IEEE World Congr. Fuzzy Syst. Proc , vol.1 , pp. 434-439
    • Tanaka, K.1    Wang, H.2
  • 21
    • 0003082859 scopus 로고    scopus 로고
    • Impulsive control of Lorenz system
    • T. Yang, L. Yang, and C. Yang, "Impulsive control of Lorenz system," Phys. D, vol. 110, no. 1-2, pp. 18-24, 1997.
    • (1997) Phys. D , vol.110 , Issue.1-2 , pp. 18-24
    • Yang, T.1    Yang, L.2    Yang, C.3
  • 22
    • 0002959919 scopus 로고    scopus 로고
    • Synchronization of two Lorenz systems using active control
    • E. Bai and K. Lonngren, "Synchronization of two Lorenz systems using active control," Chaos, Solitons, Fractals, vol. 8, no. 1, pp. 51-58, 1997.
    • (1997) Chaos, Solitons, Fractals , vol.8 , Issue.1 , pp. 51-58
    • Bai, E.1    Lonngren, K.2
  • 23
    • 0036657556 scopus 로고    scopus 로고
    • Adaptive synchronization for Rössler and Chua's systems
    • A. Hegazi, H. Agiza, and M. El-Dessoky, "Adaptive synchronization for Rössler and Chua's systems," Int. J. Bifurc. Chaos, vol. 12, no. 7, pp. 1579-1597, 2002.
    • (2002) Int. J. Bifurc. Chaos , vol.12 , Issue.7 , pp. 1579-1597
    • Hegazi, A.1    Agiza, H.2    El-Dessoky, M.3
  • 24
    • 41349088998 scopus 로고    scopus 로고
    • Simple adaptive-feedback controller for identical chaos synchronization
    • D. Huang, "Simple adaptive-feedback controller for identical chaos synchronization," Phys. Rev. E, vol. 71, no. 3, 2005.
    • (2005) Phys. Rev. E , vol.71 , Issue.3
    • Huang, D.1
  • 25
    • 6344237393 scopus 로고    scopus 로고
    • Synchronization criteria of Lur'e systems with time-delay feedback control
    • J. Cao, H. Li, and D. Ho, "Synchronization criteria of Lur'e systems with time-delay feedback control," Chaos Solitons, Fractals, vol. 23, pp. 1285-1298, 2005.
    • (2005) Chaos Solitons, Fractals , vol.23 , pp. 1285-1298
    • Cao, J.1    Li, H.2    Ho, D.3
  • 26
    • 33750548637 scopus 로고    scopus 로고
    • Synchronization criteria for Lur'e systems by dynamic output feedback with time-delay
    • X. Huang, J. Cao, and D. Ho, "Synchronization criteria for Lur'e systems by dynamic output feedback with time-delay," Int. J. Bifurc. Chaos, vol. 16, no. 8, pp. 2293-2307, 2006.
    • (2006) Int. J. Bifurc. Chaos , vol.16 , Issue.8 , pp. 2293-2307
    • Huang, X.1    Cao, J.2    Ho, D.3
  • 27
    • 34047179886 scopus 로고    scopus 로고
    • Anticipating synchronization of chaotic Lur'e systems
    • H. Huijberts, H. Nijmeijer, and T. Oguchi, "Anticipating synchronization of chaotic Lur'e systems," Chaos, vol. 17, 2007, 013117.
    • (2007) Chaos , vol.17 , pp. 013117
    • Huijberts, H.1    Nijmeijer, H.2    Oguchi, T.3
  • 28
    • 0035628330 scopus 로고    scopus 로고
    • Master-slave synchronization of Lur'e systems with time-delay
    • M. Yalçin, J. Suykens, and J. Vandewalle, "Master-slave synchronization of Lur'e systems with time-delay," Int. J. Bifurc. Chaos, vol. 11, no. 6, pp. 1707-1722, 2001.
    • (2001) Int. J. Bifurc. Chaos , vol.11 , Issue.6 , pp. 1707-1722
    • Yalçin, M.1    Suykens, J.2    Vandewalle, J.3
  • 29
    • 0037246535 scopus 로고    scopus 로고
    • Chaos synchronization of general Lur'e systems via time-delay feedback control
    • X. Liao and G. Chen, "Chaos synchronization of general Lur'e systems via time-delay feedback control," Int. J. Bifurc. Chaos, vol. 13, pp. 207-213, 2003.
    • (2003) Int. J. Bifurc. Chaos , vol.13 , pp. 207-213
    • Liao, X.1    Chen, G.2
  • 30
    • 22144498867 scopus 로고    scopus 로고
    • Delay-dependent approach to stabiliztion of time-delay chaotic systems via standard and delayed feedback control
    • S. Xu, J. Lam, and Y. Zou, "Delay-dependent approach to stabiliztion of time-delay chaotic systems via standard and delayed feedback control," Int. J. Bifurc. Chaos, vol. 15, no. 4, pp. 1455-1465, 2005.
    • (2005) Int. J. Bifurc. Chaos , vol.15 , Issue.4 , pp. 1455-1465
    • Xu, S.1    Lam, J.2    Zou, Y.3
  • 31
    • 0031089356 scopus 로고    scopus 로고
    • Master-slave synchronization using dynamic output feedback
    • J. Suykens, P. Curran, and L. Chua, "Master-slave synchronization using dynamic output feedback," Int. J. Bifurc. Chaos, vol. 7, no. 3, pp. 671-679, 1997.
    • (1997) Int. J. Bifurc. Chaos , vol.7 , Issue.3 , pp. 671-679
    • Suykens, J.1    Curran, P.2    Chua, L.3
  • 32
    • 22144489182 scopus 로고    scopus 로고
    • Frequency domain criterion for chaos synchronization of Lur'e systems via linear state error feedback control
    • X. Wu and Y. Zhao, "Frequency domain criterion for chaos synchronization of Lur'e systems via linear state error feedback control," Int. J. Bifurc. Chaos, vol. 15, no. 4, pp. 1445-1454, 2005.
    • (2005) Int. J. Bifurc. Chaos , vol.15 , Issue.4 , pp. 1445-1454
    • Wu, X.1    Zhao, Y.2
  • 35
    • 0037352487 scopus 로고    scopus 로고
    • Comments and further results on A descriptor system approach to H∞ control of linear time-delay systems
    • May
    • H. Gao and C. Wang, "Comments and further results on "A descriptor system approach to H∞ control of linear time-delay systems"," IEEE Trans. Autom. Contr., vol. 48, no. 5, pp. 520-525, May 2003.
    • (2003) IEEE Trans. Autom. Contr , vol.48 , Issue.5 , pp. 520-525
    • Gao, H.1    Wang, C.2
  • 36
    • 33750464493 scopus 로고    scopus 로고
    • New criteria for synchronization stability of general complex dynamical networks with coupling delays
    • H. Gao, J. Lam, and G. Chen, "New criteria for synchronization stability of general complex dynamical networks with coupling delays," Phys. Lett. A, vol. 360, no. 2, pp. 263-273, 2006.
    • (2006) Phys. Lett. A , vol.360 , Issue.2 , pp. 263-273
    • Gao, H.1    Lam, J.2    Chen, G.3
  • 37
    • 0001853929 scopus 로고    scopus 로고
    • Adaptive control of chaotic continuous-time systems with delay
    • Y. Tian and F. Gao, "Adaptive control of chaotic continuous-time systems with delay," Phys. D, vol. 117, no. 1, pp. 1-12, 1998.
    • (1998) Phys. D , vol.117 , Issue.1 , pp. 1-12
    • Tian, Y.1    Gao, F.2
  • 38
    • 0037246338 scopus 로고    scopus 로고
    • Time-delayed feedback control of time-delay chaotic systems
    • X. Guan, C. Chen, H. Peng, and Z. Fan, "Time-delayed feedback control of time-delay chaotic systems," Int. J. Bifurc. Chaos, pp. 193-205, 2003.
    • (2003) Int. J. Bifurc. Chaos , pp. 193-205
    • Guan, X.1    Chen, C.2    Peng, H.3    Fan, Z.4
  • 39
    • 33746364170 scopus 로고    scopus 로고
    • Delay-dependent exponential stability of delayed neural networks with time-varying delay
    • Jul
    • Y. He, M. Wu, and J. She, "Delay-dependent exponential stability of delayed neural networks with time-varying delay," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 53, no. 7, pp. 553-557, Jul. 2006.
    • (2006) IEEE Trans. Circuits Syst. II, Exp. Briefs , vol.53 , Issue.7 , pp. 553-557
    • He, Y.1    Wu, M.2    She, J.3
  • 40
    • 33751036494 scopus 로고    scopus 로고
    • Stability analysis for continuous systems with two additive time-varying delay components
    • J. Lam, H. Gao, and C. Wang, "Stability analysis for continuous systems with two additive time-varying delay components," Syst. Contr. Lett. vol. 56, no. 1, pp. 16-24, 2007.
    • (2007) Syst. Contr. Lett , vol.56 , Issue.1 , pp. 16-24
    • Lam, J.1    Gao, H.2    Wang, C.3
  • 41
    • 48749143053 scopus 로고
    • Lyapunov-Razumikhin functions and an invariance principle for functional differential equations
    • J. Haddock and J. Terjeki, "Lyapunov-Razumikhin functions and an invariance principle for functional differential equations," J. Diff. Eq., vol. 48, no. 1, pp. 95-122, 1983.
    • (1983) J. Diff. Eq , vol.48 , Issue.1 , pp. 95-122
    • Haddock, J.1    Terjeki, J.2
  • 43
    • 0001135315 scopus 로고    scopus 로고
    • Chaotic behavior in first-order autonomous continuous-time systems with delay
    • Aug
    • H. Lu and Z. He, "Chaotic behavior in first-order autonomous continuous-time systems with delay," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 43, no. 8, pp. 700-702, Aug. 1996.
    • (1996) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl , vol.43 , Issue.8 , pp. 700-702
    • Lu, H.1    He, Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.